Converse of the pythagorean therom
2 answers:
The pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse or a² + b² = c².
The converse of the pythagorean theorem on the other hand states that if the sum of the squares of 2 sides of a triangle is equal to the square of the third side or a² + b² = c², then the triangle is a right triangle.
The converse switches the order of the <em>if</em> and <em>then</em> statements.
On the whiteboard, I have also written it.
Image provided.
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Answer:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:
If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41